Spectral Three-Term Constrained Conjugate Gradient Algorithm for Function Minimizations

In this work, we tend to deal within the field of the constrained optimization methods of three-term Conjugate Gradient (CG) technique which is primarily based on Dai–Liao (DL) formula. The new proposed technique satisfies the conjugacy property and the descent conditions of Karush–Kuhn–Tucker (K.K....

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Veröffentlicht in:Journal of applied mathematics 2019, Vol.2019 (2019), p.1-6
Hauptverfasser: Ahmed, Huda I., Al-Bayati, Abbas Y., Al-Kawaz, Rana Z.
Format: Artikel
Sprache:eng
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Zusammenfassung:In this work, we tend to deal within the field of the constrained optimization methods of three-term Conjugate Gradient (CG) technique which is primarily based on Dai–Liao (DL) formula. The new proposed technique satisfies the conjugacy property and the descent conditions of Karush–Kuhn–Tucker (K.K.T.). Our planned constrained technique uses the robust Wolfe line search condition with some assumptions. We tend to prove the global convergence property of the new planned technique. Numeral comparisons for (30-thirty) constrained optimization issues make sure the effectiveness of the new planned formula.
ISSN:1110-757X
1687-0042
DOI:10.1155/2019/6378368